Ian is paid an hourly wage, totaling $400 for h hours of work in a wee

Question

Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?

A. $200
B. $375
C. $400
D. $425
E. $600

Kudos for a correct solution.

A. $200 
B. $375 
C. $400 
D. $425 
E. $600

Kudos for a correct  solution .

chetan2u · Answer

B... ans 400*1.25*.75

vedavyas9 · Answer

let No of hours ian worked = h
and wage per hour = w

there fore w*h = 400

if he decides to work 25% fewer hours = 0.75 * h
and 25% more age is paid = 1.25 * w

therefore 1.25*w*0.75*h = 1.25*0.75*400 = 375

ans - B

karant · Answer

Let the hourly wage be W

So, W * h = 400
or, W= 400 / h -------------- first equation

Now applying the given increase/decrease conditions on the variables.

Hourly wage increased by 25% . So from first equation

W = 400/h + 25 * 400 /100h = 500/h -----second equation

No of working hours decreased by 25%

h = h - h*25/100 = 3h/4 ------------ third equation

Total wage for the week according to new conditions = 500 * 3h / 4h ------multiplying second and third equation

= $375

Ans B

Cadaver · Answer

Let Pay/hr = p..

hp = 400...

Now 0.75h*1.25p = 0.75*1.25*hp = 0.75*1.25*400 = 375 = B

EMPOWERgmatRichC · Answer

Hi All,

Questions such as this one can be approached in a variety of different ways - you can TEST VALUES, do the "math" in lots of different ways, and even use some pattern-matching along with the answer choices to quickly get to the correct answer....

We're told that Ian is paid $400 for H hours of work. So we can create the following equation....

400 = (H)(P)

H = # of hours worked
P = pay/hour

We're asked what Ian's pay would be if his pay increases by 25% and his hours decrease by 25%. This info can be written as decimals or fractions....Here's how the "new" equation will look....

25% increase = 5/4
25% decrease = 3/4

(5/4)P(3/4)(H)

(5/4)(3/4)HP = (15/16)(HP)

15/16HP is a little less than 1HP (= $400), so we're looking for an answer that's a little less than $400. There's only one answer that's close...

Final Answer:  B

GMAT assassins aren't born, they're made,
Rich

82vkgmat · Answer

Total wager = h hours * wages per hour (w).
h*w = 400.
In given condition we are asked (1.25w)*(0.75) = 1.25*0.75*400 = 375 dollars.

Answer B.

PareshGmat · Answer

Answer = B. $375

Number of Hours.................... Per hour cost .................... Total

h .................................................  \frac{400}{h}  ......................... 400

h * \frac{75}{100}  ..................................  \frac{400}{h} * \frac{125}{100}  ............... (Hours decreased by 25%; wage increased by 25%)

Total = h * \frac{75}{100} * \frac{400}{h} * \frac{125}{100} = 375

Heseraj · Answer

Hourly wage  = \frac{400}{h}

Increase in hourly wage is \frac{5}{4} *\frac{400}{h} = \frac{500}{h}

Decrease in hours worked is \frac{3h}{4} * \frac{500}{h} = 375

testcracker · Answer

(400/h)(5/4)(3h/4)
= 375

thanks

generis · Answer

Pick smart numbers. Ian makes $400 a week

$400 = ( h  hours worked)*(wage per hour)
Let h = 40
Let wages = $10 per hour

He decreases hours worked by 25 percent: 
 40 * \frac{3}{4} = 30

Wage per hour increases 25 percent: 
 $10 * 1.25 = $12.50

How much is he paid in a week now?
  (30)($12.50) = (15)($25) = $375

Answer B

JeffTargetTestPrep · Answer

We can let the original number of hours worked = h and the original wage = w and we have:

wh = 400

After the 25% increase in wages and 25% decrease in number of hours, we have:

1.25w x 0.75h = 1.25 x 0.75 x wh

= 5/4 x 3/4 x 400

= 5/4 x 300

= $375

Answer: B

raj2812 · Answer

SOLUTION: (400/H)*1.25*0.75H = 375 ANS: B

kapstone1996 · Answer

X = hourly wage
H = number of hours

x*H = 400

1.25H + .75x = ?

Use numbers to test
If X = $20 and H = $20
.75($20) + $20*1.25 = $375

bumpbot · Answer

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Ian is paid an hourly wage, totaling $400 for h hours of work in a wee

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